{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10658307210031344\n",
      "0.141566265060241\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[[14.0, 18, 17.0], [10.0, 14, 14.0], [10.0, 11, 11.0], [19.0, 22, 19.0], [12.0, 12, 11.0], [12.0, 13, 13.0], [13.0, 12, 11.0], [31.0, 31, 31.0], [14.0, 16, 16.0], [8.0, 12, 9.0], [24.0, 31, 30.0], [12.0, 14, 13.0], [13.0, 14, 12.0], [14.0, 15, 15.0], [13.0, 14, 13.0], [15.0, 11, 10.0], [14.0, 13, 11.0], [18.0, 16, 13.0], [11.0, 12, 11.0], [22.0, 17, 16.0], [13.0, 12, 12.0], [19.0, 18, 18.0], [25.0, 32, 24.0], [23.0, 18, 18.0], [18.0, 17, 16.0], [13.0, 13, 12.0], [20.0, 21, 20.0], [10.0, 14, 12.0], [12.0, 18, 13.0], [21.0, 19, 19.0], [15.0, 14, 12.0], [16.0, 15, 14.0], [42.0, 31, 31.0], [11.0, 15, 15.0], [18.0, 14, 12.0], [18.0, 13, 12.0], [19.0, 19, 19.0], [29.0, 25, 25.0], [29.0, 25, 25.0], [21.0, 19, 18.0], [21.0, 21, 21.0], [13.0, 11, 11.0], [17.0, 16, 12.0], [22.0, 19, 18.0], [13.0, 14, 13.0], [13.0, 15, 15.0], [13.0, 15, 13.0], [11.0, 14, 13.0]], [[10.0, 9, 9.0], [14.0, 13, 13.0], [7.0, 9, 9.0], [7.0, 9, 9.0], [11.0, 14, 14.0], [7.0, 9, 8.0], [10.0, 13, 11.0], [13.0, 13, 11.0], [8.0, 8, 6.0], [13.0, 16, 15.0], [9.0, 11, 10.0], [16.0, 15, 13.0], [11.0, 10, 9.0], [10.0, 10, 9.0], [8.0, 9, 8.0], [9.0, 15, 14.0], [23.0, 25, 22.0], [15.0, 13, 13.0], [9.0, 9, 8.0], [8.0, 10, 7.0], [12.0, 16, 12.0], [11.0, 10, 9.0], [8.0, 9, 8.0], [14.0, 11, 11.0], [9.0, 12, 9.0], [10.0, 9, 8.0], [16.0, 16, 16.0], [7.0, 9, 9.0], [8.0, 12, 12.0], [12.0, 11, 10.0], [8.0, 10, 7.0], [12.0, 12, 12.0], [13.0, 15, 13.0], [11.0, 11, 10.0], [19.0, 12, 12.0], [10.0, 10, 10.0], [18.0, 15, 14.0], [9.0, 14, 12.0], [14.0, 12, 12.0], [12.0, 13, 13.0], [7.0, 14, 14.0], [14.0, 10, 10.0], [17.0, 14, 13.0], [12.0, 11, 10.0], [9.0, 10, 9.0], [9.0, 10, 10.0], [11.0, 13, 13.0], [16.0, 15, 14.0]], [[7.0, 10, 8.0], [6.0, 9, 7.0], [9.0, 10, 8.0], [9.0, 9, 9.0], [9.0, 10, 9.0], [11.0, 11, 10.0], [9.0, 10, 7.0], [8.0, 11, 11.0], [8.0, 9, 8.0], [7.0, 9, 7.0], [11.0, 8, 8.0], [12.0, 12, 11.0], [13.0, 11, 11.0], [15.0, 12, 12.0], [12.0, 8, 8.0], [11.0, 9, 8.0], [11.0, 10, 10.0], [8.0, 9, 9.0], [9.0, 10, 9.0], [11.0, 9, 7.0], [26.0, 26, 26.0], [5.0, 8, 6.0], [9.0, 8, 6.0], [5.0, 7, 6.0], [7.0, 7, 6.0], [8.0, 9, 7.0], [14.0, 10, 10.0], [7.0, 8, 8.0], [14.0, 8, 8.0], [6.0, 9, 8.0], [8.0, 12, 12.0], [7.0, 9, 9.0], [6.0, 7, 6.0], [10.0, 12, 12.0], [6.0, 7, 6.0], [12.0, 17, 11.0], [8.0, 9, 8.0], [10.0, 9, 9.0], [7.0, 10, 8.0], [10.0, 8, 8.0], [6.0, 9, 9.0], [7.0, 7, 7.0], [9.0, 8, 8.0], [6.0, 8, 8.0], [9.0, 9, 8.0], [7.0, 8, 6.0], [10.0, 10, 9.0], [8.0, 10, 10.0]], [[11.0, 8, 7.0], [5.0, 6, 5.0], [8.0, 8, 7.0], [9.0, 10, 10.0], [7.0, 7, 5.0], [10.0, 8, 7.0], [5.0, 7, 5.0], [8.0, 8, 6.0], [11.0, 6, 6.0], [5.0, 7, 7.0], [8.0, 6, 6.0], [7.0, 9, 7.0], [6.0, 9, 7.0], [10.0, 8, 8.0], [10.0, 7, 7.0], [9.0, 6, 6.0], [10.0, 8, 8.0], [12.0, 11, 10.0], [12.0, 8, 8.0], [8.0, 7, 6.0], [10.0, 9, 8.0], [8.0, 8, 6.0], [8.0, 7, 6.0], [6.0, 10, 9.0], [8.0, 8, 7.0], [9.0, 8, 7.0], [21.0, 22, 22.0], [10.0, 13, 12.0], [6.0, 7, 4.0], [5.0, 6, 6.0], [7.0, 8, 6.0], [6.0, 9, 7.0], [8.0, 8, 7.0], [8.0, 10, 10.0], [9.0, 10, 7.0], [8.0, 9, 7.0], [7.0, 9, 8.0], [9.0, 10, 8.0], [5.0, 7, 7.0], [6.0, 7, 6.0], [10.0, 10, 10.0], [8.0, 7, 6.0], [9.0, 7, 7.0], [7.0, 9, 9.0], [6.0, 6, 5.0], [7.0, 8, 6.0], [6.0, 8, 8.0], [8.0, 7, 6.0]], [[9.0, 6, 5.0], [10.0, 8, 8.0], [6.0, 6, 5.0], [9.0, 8, 7.0], [17.0, 8, 8.0], [8.0, 8, 8.0], [7.0, 7, 6.0], [5.0, 5, 4.0], [6.0, 9, 7.0], [8.0, 7, 6.0], [7.0, 8, 7.0], [6.0, 11, 10.0], [5.0, 7, 6.0], [8.0, 10, 8.0], [10.0, 9, 9.0], [6.0, 7, 6.0], [5.0, 7, 5.0], [7.0, 8, 6.0], [7.0, 8, 6.0], [7.0, 7, 6.0], [9.0, 8, 7.0], [7.0, 9, 7.0], [6.0, 7, 6.0], [9.0, 7, 7.0], [10.0, 7, 7.0], [8.0, 8, 8.0], [5.0, 6, 5.0], [6.0, 6, 4.0], [13.0, 9, 9.0], [7.0, 7, 6.0], [7.0, 7, 6.0], [6.0, 8, 7.0], [4.0, 7, 4.0], [7.0, 8, 8.0], [11.0, 10, 10.0], [9.0, 7, 6.0], [10.0, 6, 6.0], [12.0, 8, 6.0], [6.0, 9, 9.0], [10.0, 8, 6.0], [7.0, 8, 7.0], [5.0, 6, 6.0], [5.0, 8, 7.0], [5.0, 7, 6.0], [10.0, 9, 8.0], [10.0, 7, 7.0], [8.0, 7, 6.0], [5.0, 8, 8.0]], [[9.0, 7, 6.0], [7.0, 8, 7.0], [6.0, 7, 6.0], [8.0, 8, 7.0], [11.0, 10, 8.0], [7.0, 7, 5.0], [11.0, 9, 8.0], [8.0, 6, 5.0], [8.0, 8, 8.0], [7.0, 9, 8.0], [7.0, 7, 6.0], [8.0, 7, 6.0], [5.0, 6, 5.0], [4.0, 7, 5.0], [9.0, 9, 8.0], [6.0, 6, 6.0], [5.0, 6, 6.0], [7.0, 8, 8.0], [6.0, 6, 6.0], [6.0, 7, 6.0], [5.0, 5, 5.0], [8.0, 7, 6.0], [7.0, 7, 7.0], [5.0, 6, 6.0], [5.0, 6, 6.0], [7.0, 6, 5.0], [6.0, 5, 4.0], [6.0, 7, 6.0], [8.0, 7, 6.0], [6.0, 6, 6.0], [9.0, 8, 7.0], [9.0, 7, 6.0], [6.0, 6, 5.0], [6.0, 7, 5.0], [5.0, 6, 6.0], [8.0, 6, 6.0], [10.0, 6, 6.0], [6.0, 9, 9.0], [7.0, 6, 6.0], [6.0, 7, 5.0], [8.0, 9, 8.0], [7.0, 7, 5.0], [7.0, 9, 7.0], [7.0, 6, 6.0], [5.0, 6, 4.0], [10.0, 6, 6.0], [6.0, 7, 5.0], [8.0, 6, 6.0]], [[5.0, 7, 6.0], [5.0, 6, 5.0], [7.0, 10, 9.0], [9.0, 8, 8.0], [5.0, 7, 4.0], [9.0, 6, 5.0], [6.0, 7, 6.0], [6.0, 6, 6.0], [6.0, 6, 5.0], [5.0, 7, 6.0], [9.0, 9, 8.0], [6.0, 6, 6.0], [12.0, 5, 4.0], [16.0, 8, 7.0], [6.0, 8, 7.0], [6.0, 7, 5.0], [10.0, 6, 5.0], [8.0, 6, 5.0], [10.0, 6, 5.0], [7.0, 6, 5.0], [7.0, 7, 5.0], [13.0, 6, 5.0], [8.0, 7, 7.0], [8.0, 7, 6.0], [6.0, 9, 8.0], [5.0, 7, 7.0], [8.0, 12, 10.0], [5.0, 10, 9.0], [8.0, 9, 8.0], [5.0, 5, 4.0], [17.0, 8, 7.0], [4.0, 5, 4.0], [6.0, 6, 6.0], [6.0, 6, 5.0], [9.0, 9, 8.0], [11.0, 7, 7.0], [8.0, 8, 8.0], [5.0, 6, 5.0], [7.0, 6, 6.0], [6.0, 7, 6.0], [9.0, 12, 11.0], [6.0, 7, 6.0], [5.0, 6, 6.0], [9.0, 7, 6.0], [16.0, 8, 7.0], [7.0, 6, 6.0], [8.0, 6, 4.0], [5.0, 9, 9.0]], [[8.0, 5, 5.0], [5.0, 7, 7.0], [7.0, 7, 6.0], [6.0, 7, 6.0], [6.0, 6, 6.0], [4.0, 6, 5.0], [5.0, 8, 8.0], [5.0, 7, 7.0], [5.0, 7, 6.0], [6.0, 5, 4.0], [9.0, 6, 6.0], [9.0, 6, 5.0], [6.0, 7, 5.0], [6.0, 7, 6.0], [6.0, 6, 6.0], [5.0, 7, 6.0], [8.0, 7, 6.0], [6.0, 6, 5.0], [11.0, 7, 6.0], [9.0, 9, 8.0], [5.0, 5, 5.0], [5.0, 5, 4.0], [10.0, 5, 4.0], [8.0, 9, 7.0], [8.0, 7, 7.0], [4.0, 7, 6.0], [8.0, 7, 7.0], [5.0, 5, 4.0], [7.0, 6, 5.0], [8.0, 8, 7.0], [7.0, 6, 6.0], [5.0, 7, 6.0], [7.0, 6, 6.0], [8.0, 6, 6.0], [7.0, 6, 5.0], [11.0, 8, 7.0], [7.0, 9, 7.0], [7.0, 6, 5.0], [6.0, 6, 6.0], [5.0, 5, 4.0], [8.0, 7, 7.0], [10.0, 8, 8.0], [8.0, 7, 6.0], [7.0, 7, 6.0], [8.0, 7, 7.0], [7.0, 8, 7.0], [9.0, 6, 5.0], [5.0, 7, 6.0]], [[7.0, 8, 8.0], [8.0, 10, 9.0], [5.0, 6, 6.0], [8.0, 7, 7.0], [6.0, 6, 5.0], [6.0, 7, 6.0], [10.0, 7, 7.0], [5.0, 6, 5.0], [6.0, 5, 5.0], [6.0, 7, 6.0], [5.0, 6, 5.0], [6.0, 6, 6.0], [8.0, 6, 5.0], [5.0, 6, 5.0], [5.0, 5, 4.0], [5.0, 6, 6.0], [6.0, 6, 6.0], [8.0, 6, 5.0], [5.0, 7, 6.0], [5.0, 6, 5.0], [12.0, 6, 4.0], [12.0, 9, 8.0], [5.0, 6, 4.0], [4.0, 5, 4.0], [7.0, 6, 5.0], [5.0, 6, 5.0], [8.0, 5, 4.0], [10.0, 6, 6.0], [8.0, 5, 5.0], [10.0, 7, 7.0], [5.0, 6, 5.0], [8.0, 6, 6.0], [7.0, 6, 4.0], [5.0, 6, 5.0], [12.0, 7, 7.0], [7.0, 7, 6.0], [7.0, 7, 6.0], [9.0, 7, 6.0], [6.0, 6, 5.0], [5.0, 5, 4.0], [7.0, 5, 5.0], [5.0, 6, 5.0], [8.0, 6, 5.0], [7.0, 7, 5.0], [6.0, 7, 6.0], [5.0, 7, 5.0], [5.0, 6, 5.0], [7.0, 6, 6.0]], [[5.0, 5, 5.0], [7.0, 8, 8.0], [8.0, 6, 6.0], [6.0, 5, 5.0], [5.0, 7, 5.0], [4.0, 5, 5.0], [7.0, 6, 6.0], [10.0, 8, 7.0], [9.0, 6, 5.0], [6.0, 6, 5.0], [8.0, 7, 7.0], [4.0, 6, 5.0], [6.0, 7, 6.0], [6.0, 6, 5.0], [5.0, 6, 5.0], [6.0, 7, 5.0], [4.0, 5, 4.0], [6.0, 6, 6.0], [5.0, 7, 5.0], [4.0, 6, 4.0], [6.0, 5, 5.0], [11.0, 6, 5.0], [9.0, 6, 6.0], [6.0, 8, 7.0], [7.0, 6, 5.0], [6.0, 6, 5.0], [9.0, 8, 7.0], [6.0, 6, 5.0], [6.0, 6, 5.0], [8.0, 7, 7.0], [6.0, 6, 5.0], [5.0, 7, 5.0], [6.0, 6, 4.0], [7.0, 8, 7.0], [8.0, 8, 7.0], [5.0, 5, 4.0], [7.0, 6, 5.0], [5.0, 7, 5.0], [5.0, 6, 5.0], [9.0, 8, 8.0], [6.0, 6, 5.0], [7.0, 6, 6.0], [5.0, 5, 5.0], [7.0, 9, 8.0], [5.0, 6, 5.0], [9.0, 7, 5.0], [9.0, 7, 6.0], [5.0, 6, 6.0]], [[6.0, 6, 6.0], [5.0, 6, 5.0], [10.0, 6, 6.0], [3.0, 4, 4.0], [11.0, 7, 6.0], [4.0, 7, 7.0], [11.0, 9, 8.0], [5.0, 5, 4.0], [6.0, 5, 5.0], [10.0, 7, 6.0], [6.0, 7, 5.0], [7.0, 8, 8.0], [5.0, 7, 7.0], [8.0, 6, 6.0], [10.0, 7, 7.0], [6.0, 5, 5.0], [8.0, 7, 7.0], [7.0, 7, 7.0], [12.0, 8, 8.0], [6.0, 5, 4.0], [7.0, 6, 6.0], [5.0, 8, 7.0], [6.0, 5, 4.0], [6.0, 6, 5.0], [5.0, 7, 6.0], [10.0, 6, 6.0], [7.0, 6, 4.0], [5.0, 4, 4.0], [14.0, 10, 9.0], [7.0, 6, 6.0], [6.0, 6, 6.0], [5.0, 5, 4.0], [12.0, 8, 8.0], [7.0, 5, 5.0], [6.0, 6, 5.0], [5.0, 6, 5.0], [5.0, 5, 3.0], [4.0, 5, 4.0], [7.0, 6, 5.0], [7.0, 5, 4.0], [12.0, 10, 10.0], [5.0, 5, 5.0], [7.0, 6, 5.0], [6.0, 6, 6.0], [6.0, 6, 5.0], [8.0, 8, 8.0], [7.0, 8, 8.0], [6.0, 5, 4.0]], [[7.0, 6, 5.0], [5.0, 6, 5.0], [5.0, 7, 5.0], [4.0, 6, 5.0], [6.0, 6, 6.0], [7.0, 6, 5.0], [5.0, 7, 5.0], [4.0, 5, 4.0], [6.0, 8, 7.0], [8.0, 7, 6.0], [9.0, 8, 8.0], [4.0, 5, 5.0], [5.0, 6, 4.0], [6.0, 6, 5.0], [9.0, 7, 7.0], [8.0, 8, 7.0], [5.0, 9, 7.0], [6.0, 5, 4.0], [7.0, 7, 6.0], [9.0, 7, 7.0], [6.0, 6, 5.0], [8.0, 6, 6.0], [7.0, 6, 6.0], [5.0, 7, 5.0], [6.0, 7, 5.0], [6.0, 6, 6.0], [12.0, 5, 5.0], [9.0, 7, 6.0], [5.0, 5, 4.0], [7.0, 5, 5.0], [5.0, 5, 4.0], [6.0, 9, 8.0], [6.0, 6, 6.0], [6.0, 6, 5.0], [7.0, 6, 5.0], [6.0, 7, 7.0], [5.0, 7, 5.0], [7.0, 8, 7.0], [9.0, 6, 5.0], [7.0, 6, 5.0], [7.0, 6, 4.0], [6.0, 7, 6.0], [5.0, 6, 6.0], [5.0, 5, 5.0], [11.0, 8, 8.0], [5.0, 5, 4.0], [11.0, 5, 5.0], [5.0, 5, 5.0]], [[7.0, 7, 7.0], [8.0, 5, 5.0], [11.0, 6, 6.0], [5.0, 6, 6.0], [7.0, 6, 6.0], [7.0, 8, 8.0], [6.0, 5, 4.0], [9.0, 7, 6.0], [7.0, 7, 7.0], [17.0, 6, 6.0], [9.0, 8, 7.0], [7.0, 6, 4.0], [5.0, 7, 6.0], [6.0, 4, 4.0], [7.0, 6, 5.0], [9.0, 7, 7.0], [6.0, 6, 6.0], [5.0, 6, 5.0], [12.0, 8, 7.0], [6.0, 7, 7.0], [4.0, 5, 4.0], [9.0, 6, 5.0], [7.0, 6, 5.0], [9.0, 6, 6.0], [6.0, 7, 5.0], [8.0, 5, 5.0], [6.0, 5, 4.0], [4.0, 5, 3.0], [9.0, 7, 7.0], [5.0, 5, 5.0], [6.0, 5, 5.0], [6.0, 5, 5.0], [6.0, 7, 6.0], [4.0, 5, 5.0], [7.0, 7, 6.0], [5.0, 5, 4.0], [6.0, 8, 8.0], [5.0, 6, 4.0], [7.0, 6, 6.0], [4.0, 6, 5.0], [6.0, 7, 7.0], [5.0, 6, 5.0], [4.0, 5, 4.0], [10.0, 6, 6.0], [5.0, 6, 5.0], [6.0, 6, 6.0], [9.0, 7, 7.0], [9.0, 6, 5.0]], [[7.0, 8, 6.0], [6.0, 5, 5.0], [11.0, 6, 6.0], [5.0, 6, 5.0], [10.0, 7, 6.0], [5.0, 8, 8.0], [5.0, 8, 7.0], [6.0, 6, 6.0], [5.0, 7, 6.0], [9.0, 8, 6.0], [9.0, 7, 7.0], [8.0, 8, 8.0], [14.0, 6, 5.0], [6.0, 6, 4.0], [10.0, 8, 7.0], [4.0, 6, 5.0], [7.0, 6, 5.0], [9.0, 5, 5.0], [7.0, 8, 7.0], [5.0, 5, 4.0], [9.0, 8, 6.0], [7.0, 6, 5.0], [5.0, 6, 5.0], [10.0, 6, 5.0], [5.0, 5, 4.0], [10.0, 8, 7.0], [9.0, 9, 9.0], [6.0, 6, 5.0], [7.0, 6, 4.0], [9.0, 6, 6.0], [6.0, 6, 4.0], [4.0, 5, 5.0], [7.0, 6, 5.0], [6.0, 5, 5.0], [6.0, 5, 4.0], [5.0, 6, 4.0], [5.0, 6, 6.0], [11.0, 8, 7.0], [5.0, 6, 6.0], [6.0, 5, 4.0], [8.0, 6, 5.0], [4.0, 4, 4.0], [8.0, 8, 8.0], [7.0, 5, 4.0], [4.0, 6, 5.0], [6.0, 8, 5.0], [6.0, 7, 6.0], [7.0, 5, 5.0]], [[5.0, 6, 6.0], [7.0, 6, 4.0], [10.0, 5, 5.0], [6.0, 7, 6.0], [13.0, 8, 6.0], [10.0, 8, 7.0], [4.0, 5, 4.0], [12.0, 8, 8.0], [6.0, 6, 6.0], [8.0, 7, 6.0], [12.0, 5, 5.0], [5.0, 6, 6.0], [6.0, 5, 4.0], [9.0, 6, 5.0], [8.0, 6, 6.0], [5.0, 6, 6.0], [6.0, 6, 5.0], [6.0, 7, 6.0], [5.0, 6, 5.0], [6.0, 6, 6.0], [5.0, 6, 4.0], [6.0, 6, 5.0], [8.0, 6, 6.0], [5.0, 6, 6.0], [9.0, 6, 6.0], [7.0, 6, 5.0], [4.0, 5, 5.0], [5.0, 6, 5.0], [10.0, 7, 5.0], [5.0, 5, 5.0], [8.0, 8, 6.0], 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    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "num_nodes = list(range(20, len(data) * 10 + 20, 10))\n",
    "\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "# print((rpd_gd_mean - rpsp_mean) / rpd_gd_mean)\n",
    "# print((sp_psp_mean - rpsp_mean) / sp_psp_mean)\n",
    "\n",
    "print((rpd_gd[7] - rpsp[7]) / rpd_gd[7])\n",
    "print((sp_psp[7] - rpsp[7]) / sp_psp[7])\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "# plt.plot(num_nodes, sp_gd, label='shortest_path + greedy_ps_provision', marker='p')\n",
    "plt.plot(num_nodes, sp_psp, label='SP+PSP', marker='o')\n",
    "plt.plot(num_nodes, rpd_gd, label='RPD+GD', marker='s')\n",
    "plt.plot(num_nodes, rpsp, label='RPSP', marker='^')\n",
    "plt.xlabel('Number of Nodes')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('sd_num=50, alpha=0.2')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_node_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
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